Groebner bases for spaces of quadrics of codimension 3
| dc.creator | Conca, Aldo | |
| dc.date | 2007-09-25 | |
| dc.date | 2008-04-02 | |
| dc.date.accessioned | 2026-07-07T09:29:32Z | |
| dc.date.available | 2026-07-07T09:29:32Z | |
| dc.description | Let $R=\oplus_{i\geq 0} R_i$ be an Artinian standard graded $K$-algebra defined by quadrics. Assume that $\dim R_2\leq 3$ and that $K$ is algebraically closed of characteristic $\neq 2$. We show that $R$ is defined by a Gröbner basis of quadrics with, essentially, one exception. The exception is given by $K[x,y,z]/I$ where $I$ is a complete intersection of 3 quadrics not containing the square of a linear form. | |
| dc.description | Minor changes, to appear in the J. Pure Applied Algebra | |
| dc.identifier | https://arxiv.org/abs/0709.3917 | |
| dc.identifier | http://arxiv.org/abs/0709.3917 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157821 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13P10 | |
| dc.title | Groebner bases for spaces of quadrics of codimension 3 | |
| dc.type | text |